Effective chaos for the Kirchhoff equation on tori

Συγγραφείς: Baldi, Pietro, Giuliani, Filippo, Guardia, Marcel, Haus, Emanuele

Πηγή: Annales de l'Institut Henri Poincaré C

Θεματικοί όροι: chaotic dynamics, Chaotic behavior of solutions to dynamical problems in solid mechanics, resonances for Hamiltonian PDEs, Dynamical Systems (math.DS), Methods of ordinary differential equations applied to PDEs, effective chaos, 01 natural sciences, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, Mathematics - Analysis of PDEs, 37D45, 74H65, 35A24, 35B34, FOS: Mathematics, Resonance in context of PDEs, quasilinear PDEs, Mathematics - Dynamical Systems, 0101 mathematics, Kirchhoff equation, Analysis of PDEs (math.AP)

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2303.00688
https://zbmath.org/8017565
https://doi.org/10.4171/aihpc/110
https://ems.press/journals/aihpc/articles/14199192
https://hdl.handle.net/11588/992427
https://ems.press/journals/aihpc/articles/14199192
https://hdl.handle.net/11588/992427
https://doi.org/10.4171/AIHPC/110

On the exploitation of chaos to build reduced-order models: On the exploitation of chaos to build reduced-order models.

Συγγραφείς: Kerschen, Gaëtan, Feeny, B. F., Golinval, Jean-Claude

Πηγή: Computer Methods in Applied Mechanics and Engineering. 192:1785-1795

Θεματικοί όροι: Sciences informatiques, principal component analysis, chaos, Physique, chimie, mathématiques & sciences de la terre, Aerospace & aeronautics engineering, 02 engineering and technology, orthogonal transformation, 01 natural sciences, low-dimensional model, Ingénierie, informatique & technologie, 0201 civil engineering, non-linear dynamics, proper orthogonal decomposition, eigenmodes, Physical, chemical, mathematical & earth Sciences, Dynamical systems in solid mechanics, 0103 physical sciences, model reduction, model reduction of non-linear systems, Chaotic behavior of solutions to dynamical problems in solid mechanics, Computer science, Mechanical engineering, Engineering, computing & technology, Mathématiques, Ingénierie mécanique, Rods (beams, columns, shafts, arches, rings, etc.), Ingénierie aérospatiale, Mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://orbi.uliege.be/bitstream/2268/18542/1/C10_2002_Leuven_ISMAa.pdf
https://ui.adsabs.harvard.edu/abs/2003CMAME.192.1785K/abstract
https://isiarticles.com/bundles/Article/pre/pdf/20246.pdf
http://isiarticles.com/bundles/Article/pre/pdf/20246.pdf
https://www.sciencedirect.com/science/article/pii/S0045782503002068
https://orbi.uliege.be/handle/2268/18999
http://orbi.ulg.ac.be/bitstream/2268/18542/1/C10_2002_Leuven_ISMAa.pdf
https://hdl.handle.net/2268/18542

Non-resonant and resonant chaotic dynamics in externally excited cyclic systems

Συγγραφείς: Anil K. Bajaj, S. Samaranayake, G. Samaranayake

Πηγή: Solid Mechanics and its Applications ISBN: 9789401038089

Θεματικοί όροι: Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, homoclinic orbits, 0203 mechanical engineering, 4. Education, 0103 physical sciences, Chaotic behavior of solutions to dynamical problems in solid mechanics, higher-dimensional Melnikov method, Perturbation theories for problems in Hamiltonian and Lagrangian mechanics, Forced motions for nonlinear problems in mechanics, 02 engineering and technology, Hamiltonian perturbations, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1687890
https://doi.org/10.1007/bf01181808
https://link.springer.com/content/pdf/10.1007%2F978-94-010-0886-0_3.pdf
https://rd.springer.com/chapter/10.1007/978-94-010-0886-0_3
https://link.springer.com/article/10.1007/bf01181808

Single-mode control and chaos of cantilever beam under primary and principal parametric excitations

Συγγραφείς: A. F. El-Bassiouny

Πηγή: Chaos, Solitons & Fractals. 30:1098-1121

Θεματικοί όροι: Vibrations in dynamical problems in solid mechanics, 0103 physical sciences, Chaotic behavior of solutions to dynamical problems in solid mechanics, Control, switches and devices (''smart materials') in solid mechanics, Stabilization of systems by feedback, Rods (beams, columns, shafts, arches, rings, etc.), 01 natural sciences, 7. Clean energy

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/5323256
https://doi.org/10.1016/j.chaos.2005.09.015
https://ui.adsabs.harvard.edu/abs/2006CSF....30.1098E/abstract
https://ideas.repec.org/a/eee/chsofr/v30y2006i5p1098-1121.html
https://www.sciencedirect.com/science/article/pii/S0960077905008453

Chaotic response of a large deflection beam and effect of the second order mode

Συγγραφείς: Xiangfeng Zheng, Qiang Han

Πηγή: European Journal of Mechanics - A/Solids. 24:944-956

Θεματικοί όροι: Dynamical systems in solid mechanics, Melnikov function, 0203 mechanical engineering, 0103 physical sciences, Chaotic behavior of solutions to dynamical problems in solid mechanics, 02 engineering and technology, Rods (beams, columns, shafts, arches, rings, etc.), Galerkin principle, Poincaré map, 01 natural sciences, double mode method

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/pii/S0997753805000513
http://ui.adsabs.harvard.edu/abs/2005EJMS...24..944H/abstract

Nonlinear dynamical analysis of axially moving viscoelastic strings

Συγγραφείς: Li-Qun Chen, Neng-Hui Zhang

Πηγή: Chaos, Solitons & Fractals. 24:1065-1074

Θεματικοί όροι: bifurcation diagrams, Vibrations in dynamical problems in solid mechanics, Dynamical systems in solid mechanics, 0203 mechanical engineering, Galerkin truncations, 0103 physical sciences, Chaotic behavior of solutions to dynamical problems in solid mechanics, Strings, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, 02 engineering and technology, chaotic motions, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2167919
https://doi.org/10.1016/j.chaos.2004.09.113
https://ideas.repec.org/a/eee/chsofr/v24y2005i4p1065-1074.html
https://www.sciencedirect.com/science/article/pii/S0960077904006022
https://ui.adsabs.harvard.edu/abs/2005CSF....24.1065Z/abstract

Bifurcation and chaos of an axially accelerating viscoelastic beam

Συγγραφείς: Li-Qun Chen, Xiao-Dong Yang

Πηγή: Chaos, Solitons & Fractals. 23:249-258

Θεματικοί όροι: Bifurcations in context of PDEs, 0103 physical sciences, Chaotic behavior of solutions to dynamical problems in solid mechanics, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, Rods (beams, columns, shafts, arches, rings, etc.), 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://ui.adsabs.harvard.edu/abs/2005CSF....23..249Y/abstract
https://www.sciencedirect.com/science/article/pii/S0960077904002449

Vibration of a space arc subject to a critical dynamic load

Συγγραφείς: Lazarus Tenek

Πηγή: Communications in Numerical Methods in Engineering. 21:163-167

Θεματικοί όροι: 0209 industrial biotechnology, Vibrations in dynamical problems in solid mechanics, Bifurcation and buckling, chaotic attractor, Chaotic behavior of solutions to dynamical problems in solid mechanics, 02 engineering and technology, dynamic buckling, vibration, 0101 mathematics, 01 natural sciences, 7. Clean energy, space arc, buckling waves

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2159902
https://doi.org/10.1002/cnm.735
https://www.onlinelibrary.wiley.com/doi/10.1002/cnm.735

On the design of energy–momentum integration schemes for arbitrary continuum formulations. Applications to classical and chaotic motion of shells: On the design of energy-momentum integration schemes for arbitrary continuum formulations. Applications to classical and chaotic motion of shells

Συγγραφείς: Jamal Sansour, Carlo Sansour, Peter Wriggers

Πηγή: International Journal for Numerical Methods in Engineering. 60:2419-2440

Θεματικοί όροι: Finite element methods applied to problems in solid mechanics, Numerical approximation of solutions of dynamical problems in solid mechanics, Chaotic behavior of solutions to dynamical problems in solid mechanics, 0211 other engineering and technologies, 02 engineering and technology, structural dynamics, 16. Peace & justice, 01 natural sciences, Shells, energy-momentum methods, non-linear dynamics, chaotic motion, 0101 mathematics, shell theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2200137
https://doi.org/10.1002/nme.931
https://ui.adsabs.harvard.edu/abs/2004IJNME..60.2419S/abstract
http://onlinelibrary.wiley.com/doi/10.1002/nme.931/abstract
https://onlinelibrary.wiley.com/doi/10.1002/nme.931

The chaotic response of the viscoelastic traveling string: an integral constitutive law

Συγγραφείς: Li-Qun Chen, Jean W. Zu, Jun Wu

Πηγή: Chaos, Solitons & Fractals. 21:349-357

Θεματικοί όροι: Dynamical systems in solid mechanics, 0203 mechanical engineering, 0103 physical sciences, Chaotic behavior of solutions to dynamical problems in solid mechanics, Strings, Linear constitutive equations for materials with memory, 02 engineering and technology, 16. Peace & justice, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2093244
https://doi.org/10.1016/j.chaos.2003.10.037
https://www.sciencedirect.com/science/article/pii/S0960077903005873
https://ui.adsabs.harvard.edu/abs/2004CSF....21..349C/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0960077903005873#!

Non-linear vibrations of an axially moving viscoelastic web with time-dependent tension: Nonlinear vibrations of an axially moving viscoelastic web with time-dependent tension

Συγγραφείς: K. Marynowski

Πηγή: Chaos, Solitons & Fractals. 21:481-490

Θεματικοί όροι: Vibrations in dynamical problems in solid mechanics, Finite element methods applied to problems in solid mechanics, 0203 mechanical engineering, 0103 physical sciences, Chaotic behavior of solutions to dynamical problems in solid mechanics, Linear constitutive equations for materials with memory, 02 engineering and technology, Rods (beams, columns, shafts, arches, rings, etc.), 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2093256
https://doi.org/10.1016/j.chaos.2003.12.020
http://ui.adsabs.harvard.edu/abs/2004CSF....21..481M/abstract
https://www.sciencedirect.com/science/article/pii/S0960077903006660
https://www.infona.pl/resource/bwmeta1.element.elsevier-a555bdb5-3607-398b-9237-329207faada9

Complex Parametric Vibrations of Flexible Rectangular Plates: Complex parametric vibrations of flexible rectangular plates

Συγγραφείς: Jan Awrejcewicz, Anton V. Krysko, Vadim A. Krysko

Πηγή: Meccanica. 39:221-244

Θεματικοί όροι: variational formulation, Vibrations in dynamical problems in solid mechanics, 0203 mechanical engineering, 0103 physical sciences, Chaotic behavior of solutions to dynamical problems in solid mechanics, transition to chaos, 02 engineering and technology, on Kármán-Vlasov-Mushtari equations, Plates, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1023%2FB%3AMECC.0000022845.52667.b0

Nonlinear thermomechanical oscillations of shape-memory devices

Συγγραφείς: LACARBONARA, Walter, BERNARDINI, Davide, VESTRONI, Fabrizio

Πηγή: International Journal of Solids and Structures. 41:1209-1234

Θεματικοί όροι: Hysteresis, Chaotic behavior of solutions to dynamical problems in solid mechanics, Control, switches and devices (''smart materials') in solid mechanics, 02 engineering and technology, 01 natural sciences, Thermomechanical coupling, Thermal effects in solid mechanics, Vibrations in dynamical problems in solid mechanics, 0203 mechanical engineering, Period-doubling cascade, 0103 physical sciences, Chaos, chaos, hopf bifurcation, hysteresis, nonlinear dynamics, period-doubling cascade, quasiperiodicity, shape memory materials, shape-memory alloys, thermomechanical coupling, Hopf bifurcation, Quasiperiodicity, Shape-memory alloys

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/pii/S0020768303006115
https://core.ac.uk/display/54353823
https://dialnet.unirioja.es/servlet/articulo?codigo=783110
https://eurekamag.com/research/070/244/070244577.php
https://hdl.handle.net/11573/232470
https://doi.org/10.1016/j.ijsolstr.2003.10.015
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000188814600003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a

Chaotic and asymmetrical beam response to impulsive load

Συγγραφείς: Liu, Y. M., Ma, G. W., Li, Q. M.

Πηγή: Liu, Y M, Ma, G W & Li, Q M 2004, 'Chaotic and asymmetrical beam response to impulsive load', International Journal of Solids and Structures, vol. 41, no. 3-4, pp. 765-784. https://doi.org/10.1016/j.ijsolstr.2003.09.048

Θεματικοί όροι: Chaotic and asymmetrical response, beam model, Elastic-plastic beam, Chaotic behavior of solutions to dynamical problems in solid mechanics, 02 engineering and technology, 01 natural sciences, Three-degree-of-freedom beam model, Dynamical systems in solid mechanics, 0203 mechanical engineering, 0103 physical sciences, Rods (beams, columns, shafts, arches, rings, etc.), Impulsive load, Three-degree-of-freedom, Elastic--plastic beam

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2083044
https://doi.org/10.1016/j.ijsolstr.2003.09.048
https://www.sciencedirect.com/science/article/pii/S0020768303005584
https://core.ac.uk/display/74153947
https://dialnet.unirioja.es/servlet/articulo?codigo=777430
https://www.escholar.manchester.ac.uk/uk-ac-man-scw:1e1185
https://www.sciencedirect.com/science/article/pii/S0020768303005584#!

BINARY TIME SERIES GENERATED BY CHAOTIC LOGISTIC MAPS: Binary time series generated by chaotic logistic maps

Συγγραφείς: Lawrance, AJ, Wolff, Rodney

Πηγή: Stochastics and Dynamics. :529-544

Θεματικοί όροι: statistical method, Communication theory, 0202 electrical engineering, electronic engineering, information engineering, Chaotic behavior of solutions to dynamical problems in solid mechanics, non-binary discretization, 02 engineering and technology, Optimality conditions for problems involving randomness, Binary sequence, chaos, chaos communications, dependence, discretisation, invariant distribution, logistic map, randomness, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://eprints.qut.edu.au/5938/1/5938_1.pdf
https://zbmath.org/2071140
https://doi.org/10.1142/s0219493703000796
https://eprints.qut.edu.au/5938/
https://www.worldscientific.com/doi/abs/10.1142/S0219493703000796
http://eprints.qut.edu.au/5938/

Analysis of complex parametric vibrations of plates and shells using Bubnov-Galerkin approach

Συγγραφείς: Anton V. Krysko, Jan Awrejcewicz

Πηγή: Archive of Applied Mechanics. 73:495-504

Θεματικοί όροι: Vibrations in dynamical problems in solid mechanics, 0203 mechanical engineering, attractor dimension, Numerical approximation of solutions of dynamical problems in solid mechanics, 0103 physical sciences, Chaotic behavior of solutions to dynamical problems in solid mechanics, Poincaré section, Runge-Kutta method, 02 engineering and technology, Plates, 01 natural sciences, Shells, Lyapunov exponent

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://rd.springer.com/article/10.1007/s00419-003-0303-8
https://ui.adsabs.harvard.edu/abs/2003AAM....73..495A/abstract
https://link.springer.com/article/10.1007%2Fs00419-003-0303-8

A new characterization of nonisotropic chaotic vibrations of the one-dimensional linear wave equation with a van der Pol boundary condition: A new characterization of nonisotropic chaotic vibrations of the one-dimensional linear wave equation with a van der Pol boundary condition.

Συγγραφείς: Yu Huang

Πηγή: Journal of Mathematical Analysis and Applications. 288:78-96

Θεματικοί όροι: Vibrations in dynamical problems in solid mechanics, nonlinear boundary conditions, Applied Mathematics, Chaotic behavior of solutions to dynamical problems in solid mechanics, wave equation, total variation theory, chaotic vibrations, Initial-boundary value problems for second-order hyperbolic equations, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, 01 natural sciences, Analysis, Second-order nonlinear hyperbolic equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/pii/S0022247X03005626
https://www.sciencedirect.com/science/article/pii/S0022247X03005626#!

Solitary waves and chaos in nonlinear visco-elastic rod

Συγγραφείς: Guitong Yang, Nianmei Zhang

Πηγή: European Journal of Mechanics - A/Solids. 22:917-923

Θεματικοί όροι: Visco-elastics, Dynamical systems in solid mechanics, Solitary waves in solid mechanics, 0103 physical sciences, Chaotic behavior of solutions to dynamical problems in solid mechanics, Chaos, Solitary wave, Subharmonic orbit, Rods (beams, columns, shafts, arches, rings, etc.), 01 natural sciences, Dynamics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2026729
https://doi.org/10.1016/s0997-7538(03)00072-x
https://ui.adsabs.harvard.edu/abs/2003EJMS...22..917Z/abstract
https://www.sciencedirect.com/science/article/pii/S099775380300072X
http://www.sciencedirect.com/science/article/pii/S099775380300072X

Wavelet-Based Analysis of Parametric Vibrations of Flexible Plates: Wavelet-based analysis of parametric vibrations of flexible plates

Συγγραφείς: Anton V. Krysko, Jan Awrejcewicz

Πηγή: International Applied Mechanics. 39:997-1028

Θεματικοί όροι: Vibrations in dynamical problems in solid mechanics, flexible plates, chaos, 0103 physical sciences, Chaotic behavior of solutions to dynamical problems in solid mechanics, parametric vibrations, Nontrigonometric harmonic analysis involving wavelets and other special systems, wavelet-based methods, Plates, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1023/B:INAM.0000008210.36426.24
https://link.springer.com/content/pdf/10.1023/B:INAM.0000008210.36426.24.pdf
https://ui.adsabs.harvard.edu/abs/2003IAM....39..997A/abstract

Bifurcation and chaos of the circular plates on the nonlinear elastic foundation

Συγγραφείς: Yeh Kai-yuan, Qiu Ping, Wang Xin-zhi

Πηγή: Applied Mathematics and Mechanics. 24:880-885

Θεματικοί όροι: Vibrations in dynamical problems in solid mechanics, Dynamical systems in solid mechanics, 0203 mechanical engineering, 0103 physical sciences, Chaotic behavior of solutions to dynamical problems in solid mechanics, Nonlinear elasticity, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, 02 engineering and technology, Plates, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.airitilibrary.com/Publication/alDetailedMesh?DocID=02534827-200308-24-8-880-885-a
https://www.amm.shu.edu.cn/EN/Y2003/V24/I8/880
https://en.cnki.com.cn/Article_en/CJFDTOTAL-YYSX200308002.htm
https://link.springer.com/article/10.1007/BF02446492