Effect of braking torque on vehicle nonlinear dynamics

Συγγραφείς: Xianbin Wang, Weifeng Li, Zhipeng Li, Zexuan Li, Fugang Zhang

Πηγή: Meccanica. 58:1267-1289

Θεματικοί όροι: Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, Phase plane analysis, limit cycles for nonlinear problems in mechanics, Stability for nonlinear problems in mechanics, bifurcation diagram, chaos, phase space method, Lyapunov exponent spectrum, nonlinear braking stability analysis, Stability problems in rigid body dynamics

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Estimates of constants in the limit theorems for chaotic dynamical systems

Συγγραφείς: Leonid A. Bunimovich, Yaofeng Su

Πηγή: Stochastics and Dynamics. 24

Θεματικοί όροι: chaotic dynamics, Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, time asymptotics statistical laws, Probability (math.PR), Central limit and other weak theorems, Dynamical Systems (math.DS), 01 natural sciences, Markov chains (discrete-time Markov processes on discrete state spaces), Dynamical systems and their relations with probability theory and stochastic processes, 03 medical and health sciences, Large deviations, 0302 clinical medicine, Computational methods in Markov chains, FOS: Mathematics, Mathematics - Dynamical Systems, 0101 mathematics, Mathematics - Probability

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2306.15057
https://zbmath.org/7850284
https://doi.org/10.1142/s0219493724500047

Dynamic Effect of the Parametric Excitation Force on an Autoparametric Vibration Absorber: Dynamic effect of the parametric excitation force on an autoparametric vibration absorber

Συγγραφείς: Atepor, Lawrence, Akoto, Richard Nii Ayitey

Πηγή: Nelineinaya Dinamika. 18:119-135

Θεματικοί όροι: Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, continuation method, chaotic region, Parametric resonances for nonlinear problems in mechanics, bifurcation analysis, Forced motions for nonlinear problems in mechanics, vibration amplitude, Poincaré map, 7. Clean energy, Bifurcations and instability for nonlinear problems in mechanics, method of multiple scales

Περιγραφή αρχείου: application/xml

Period-3 motions to chaos in an inverted pendulum with a periodic base movement

Συγγραφείς: Chuan Guo, Albert C. J. Luo

Πηγή: The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity. 10:663-680

Θεματικοί όροι: Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, bifurcation tree, Fourier series analysis, Equilibria and periodic trajectories for nonlinear problems in mechanics, mapping structure, discrete implicit mapping, nonlinear frequency-amplitude relation, Bifurcations and instability for nonlinear problems in mechanics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7487361
https://doi.org/10.5890/dnc.2021.12.007
https://www.lhscientificpublishing.com/Journals/articles/DOI-10.5890-DNC.2021.12.007.aspx

Bifurcation and dynamic behavior analysis of a rotating cantilever plate in subsonic airflow

Συγγραφείς: Wei Zhang, Minghui Yao, Dongxing Cao, Ma Li

Πηγή: Applied Mathematics and Mechanics. 41:1861-1880

Θεματικοί όροι: Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, bifurcation and chaos, 0103 physical sciences, subsonic aerodynamic force, asymptotic perturbation method, 01 natural sciences, Bifurcations and instability for nonlinear problems in mechanics, 3. Good health

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/content/pdf/10.1007/s10483-020-2668-8.pdf
https://zbmath.org/7444995
https://doi.org/10.1007/s10483-020-2668-8
https://www.amm.shu.edu.cn/EN/10.1007/s10483-020-2668-8
https://link.springer.com/article/10.1007/s10483-020-2668-8
https://link.springer.com/content/pdf/10.1007/s10483-020-2668-8.pdf

Blue-Sky Catastrophic Bifurcations Behind Emergence and Disappearance of Quasiperiodic Rubbing Oscillations in a Piecewise Smooth Rotor–Stator System: Blue-sky catastrophic bifurcations behind emergence and disappearance of quasiperiodic rubbing oscillations in a piecewise smooth rotor-stator system

Συγγραφείς: Shan Fan, Ling Hong, Jun Jiang

Πηγή: International Journal of Bifurcation and Chaos. 32

Θεματικοί όροι: Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, Quasi-periodic motions and invariant tori for nonlinear problems in mechanics, nonlinear normal mode, 02 engineering and technology, Computational methods for problems pertaining to mechanics of particles and systems, 01 natural sciences, Bifurcations and instability for nonlinear problems in mechanics, inverse torus doubling, multigrid point mapping method, 0203 mechanical engineering, chaotic attractor, chaotic crisis, 0103 physical sciences, Hopf bifurcation

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7847216
https://doi.org/10.1142/s0218127422502212

Transient behaviors and equilibria-analysis-based boundary crisis analysis in a smooth 4D dynamical system

Συγγραφείς: Yu, Hui, Du, Shengzhi, Dong, Enzeng, Tong, Jigang

Πηγή: Chaos, Solitons & Fractals. 160:112220

Θεματικοί όροι: boundary crisis, Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, transient behavior, stable equilibrium point, 0103 physical sciences, long memory, 01 natural sciences

Περιγραφή αρχείου: application/xml

Magnetorheological damping and semi-active control of an autoparametric vibration absorber

Συγγραφείς: Krzysztof Kecik, Jerzy Warminski, Andrzej Mitura, Danuta Sado

Πηγή: Meccanica. 49:1887-1900

Θεματικοί όροι: Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, Mechanical Engineering, chaos, 02 engineering and technology, Condensed Matter Physics, 01 natural sciences, absorption effect, hysteresis, 0203 mechanical engineering, Mechanics of Materials, 0103 physical sciences, Control of mechanical systems, Magnetohydrodynamics and electrohydrodynamics, MR damping, control

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/content/pdf/10.1007%2Fs11012-014-9892-2.pdf
https://link.springer.com/content/pdf/10.1007%2Fs11012-014-9892-2.pdf
https://paperity.org/p/35161985/magnetorheological-damping-and-semi-active-control-of-an-autoparametric-vibration
https://link.springer.com/article/10.1007/s11012-014-9892-2
https://core.ac.uk/display/81095989

Split-operator technique for propagating phase space functions: Exploring chaotic, dissipative and relativistic dynamics: Split-operator technique for propagating phase space functions: exploring chaotic, dissipative and relativistic dynamics

Συγγραφείς: Saravana Prakash Thirumuruganandham, Alejandro Santana, Edgar A. Gómez

Πηγή: Computer Physics Communications. 185:136-143

Θεματικοί όροι: chaotic dynamics, Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, phase space distribution function, Liouville equation, 0103 physical sciences, dissipative dynamics, split-operator technique, Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/6626413
https://doi.org/10.1016/j.cpc.2013.08.025
https://dblp.uni-trier.de/db/journals/cphysics/cphysics185.html#GomezTS14
https://www.sciencedirect.com/science/article/pii/S0010465513002981
http://ui.adsabs.harvard.edu/abs/2014CoPhC.185..136G/abstract

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

A new procedure for exploring chaotic attractors in nonlinear dynamical systems under random excitations

Συγγραφείς: Chunbiao Gan, Hua Lei

Πηγή: Acta Mechanica Sinica. 27:593-601

Θεματικοί όροι: Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, bounded noise excitation, Random vibrations in mechanics of particles and systems, 0203 mechanical engineering, chaotic attractor, bifurcation, 0103 physical sciences, Forced motions for nonlinear problems in mechanics, 02 engineering and technology, Poincaré map, 01 natural sciences, dynamical system

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/6203212
https://doi.org/10.1007/s10409-011-0472-6
https://link.springer.com/article/10.1007%2Fs10409-011-0472-6
https://ui.adsabs.harvard.edu/abs/2011AcMSn..27..593G/abstract

Chaos in Relativity and Cosmology: Chaos in relativity and cosmology

Συγγραφείς: Nikos Voglis, George Contopoulos, C. Efthymiopoulos

Πηγή: Impact of Modern Dynamics in Astronomy ISBN: 9789401059305

Θεματικοί όροι: Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, mixmaster universe, chaos, bifurcation, 0103 physical sciences, black hole, 01 natural sciences, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, Relativistic cosmology

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/74DE35F4EFE5074BBE8BF516845D7E16/S0252921100072365a.pdf/div-class-title-chaos-in-relativity-and-cosmology-div.pdf
https://zbmath.org/1442246
https://doi.org/10.1023/a:1008376523356
https://rd.springer.com/chapter/10.1007/978-94-011-4527-5_1
https://link.springer.com/article/10.1023%2FA%3A1008376523356/metrics
https://ui.adsabs.harvard.edu/abs/1999CeMDA..73....1C/abstract
https://www.cambridge.org/core/journals/international-astronomical-union-colloquium/article/chaos-in-relativity-and-cosmology/74DE35F4EFE5074BBE8BF516845D7E16
https://pergamos.lib.uoa.gr/uoa/dl/object/3018497

Nonlinear filters for chaotic oscillatory systems

Συγγραφείς: Mohammad Khalil, Abhijit Sarkar, Sondipon Adhikari

Πηγή: Nonlinear Dynamics. 55:113-137

Θεματικοί όροι: Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, Random vibrations in mechanics of particles and systems, extended Kalman filter, non-Gaussian transition probability density function, Duffing oscillator, Computational methods for problems pertaining to mechanics of particles and systems, Filtering in stochastic control theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://engweb.swan.ac.uk/%7Eadhikaris/fulltext/journal/ft56.pdf
https://zbmath.org/5603321
https://doi.org/10.1007/s11071-008-9349-z
https://engweb.swan.ac.uk/~adhikaris/fulltext/journal/ft56.pdf
https://ir.library.carleton.ca/pub/15653
https://link.springer.com/article/10.1007/s11071-008-9349-z
https://cronfa.swan.ac.uk/Record/cronfa25829
http://engweb.swan.ac.uk/~adhikaris/fulltext/journal/ft56.pdf

The weakly dissipative version of the Kolmogorov-Arnold-Moser theory and practical calculations

Συγγραφείς: R. I. Bogdanov, M. R. Bogdanov

Πηγή: Computational Mathematics and Mathematical Physics. 48:447-463

Θεματικοί όροι: Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, Euler scheme, Bogdanov-Takens bifurcation, Computational methods for problems pertaining to mechanics of particles and systems, Bogdanov map, Numerical methods for Hamiltonian systems including symplectic integrators, 01 natural sciences, Approximation methods and numerical treatment of dynamical systems, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, periodic orbits, Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion, adiabatic invariants, Nearly integrable Hamiltonian systems, KAM theory, Arnold diffusion, 0101 mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/5282435
https://doi.org/10.1007/s11470-008-3009-8
http://ui.adsabs.harvard.edu/abs/2008CMMPh..48..447B/abstract
https://link.springer.com/article/10.1134/S0965542508030093
https://link.springer.com/content/pdf/10.1134/S0965542508030093.pdf

Unified Analysis of Complex Nonlinear Motions via Densities: Unified analysis of complex nonlinear motions via densities

Συγγραφείς: H. Lin, Solomon C. Yim

Πηγή: Solid Mechanics and its Applications ISBN: 9789401066303

Θεματικοί όροι: heteroclinic orbit, Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, deterministic chaos, Foguel alternative theorem, Random vibrations in mechanics of particles and systems, invariant measure, homoclinic orbit, Fokker-Planck equation, periodic external exciting force, delta-correlated white noise, probability densities, additive zero-mean, Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics, second-order nonlinear differential equation, time-averaging density

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1586899
https://doi.org/10.1023/a:1026583521930
https://link.springer.com/content/pdf/10.1023/A:1026583521930.pdf
https://rd.springer.com/chapter/10.1007/978-94-009-0321-0_44
https://link.springer.com/article/10.1023/A:1026583521930

Chaotic orbits in a restricted three-body problem: numerical experiments and heuristics

Συγγραφείς: Marian Gidea, Frederick Deppe

Πηγή: Communications in Nonlinear Science and Numerical Simulation. 11:161-171

Θεματικοί όροι: Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, Three-body problems, 0103 physical sciences, oscillatory motions, small perturbation, Computational methods for problems pertaining to mechanics of particles and systems, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/abs/pii/S1007570404001534
https://ui.adsabs.harvard.edu/abs/2006CNSNS..11..161G/abstract

Chaotic motions and fractal basin boundaries in spring-pendulum system

Συγγραφείς: Rasool Shabani, Aria Alasty

Πηγή: Nonlinear Analysis: Real World Applications. 7:81-95

Θεματικοί όροι: Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, Spring-pendulum system, 0103 physical sciences, Chaos, 02 engineering and technology, 0210 nano-technology, 01 natural sciences, Fractal basin, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, Jumping phenomenon

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/5021168
https://doi.org/10.1016/j.nonrwa.2005.01.003
https://www.sciencedirect.com/science/article/pii/S1468121805000064

Noise-induced basin hopping in a gearbox model

Συγγραφείς: Iberê L. Caldas, Ricardo L. Viana, Antonio M. Batista, Silvio L.T. de Souza, Tomasz Kapitaniak

Πηγή: Chaos, Solitons & Fractals. 26:1523-1531

Θεματικοί όροι: Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, phase space, Phase plane analysis, limit cycles for nonlinear problems in mechanics, 0103 physical sciences, attractors, Dynamical systems in classical and celestial mechanics, backlash, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2189760
https://doi.org/10.1016/j.chaos.2005.04.033
http://fisica.ufpr.br/viana/artigos/2005/noise_gear.pdf
http://ui.adsabs.harvard.edu/abs/2005CSF....26.1523D/abstract
https://www.sciencedirect.com/science/article/pii/S0960077905003462
https://ideas.repec.org/a/eee/chsofr/v26y2005i5p1523-1531.html
http://www.sciencedirect.com/science/article/pii/S0960077905003462

Synchronization of chaotic systems with parameter driven by a chaotic signal

Συγγραφείς: Guo-Hui Li

Πηγή: Chaos, Solitons & Fractals. 26:1485-1489

Θεματικοί όροι: Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, dependence of initial conditions, Lorenz system, uncoupled identical chaotic oscillators, 0103 physical sciences, driving parameter scheme, Dynamical systems in classical and celestial mechanics, Stabilization of systems by feedback, chaos control, 01 natural sciences, Strange attractors, chaotic dynamics of systems with hyperbolic behavior

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2189755
https://doi.org/10.1016/j.chaos.2005.04.012
https://www.sciencedirect.com/science/article/pii/S0960077905003139
https://ideas.repec.org/a/eee/chsofr/v26y2005i5p1485-1489.html
http://ui.adsabs.harvard.edu/abs/2005CSF....26.1485L/abstract

Estimation of Chaotic and Regular (Stick–Slip and Slip–Slip) Oscillations Exhibited by Coupled Oscillators with Dry Friction: Estimation of chaotic and regular (stick-slip and slip-slip) oscillations exhibited by coupled oscillators with dry friction

Συγγραφείς: Celso Grebogi, Jan Awrejcewicz, L. P. Dzyubak

Πηγή: Nonlinear Dynamics. 42:383-394

Θεματικοί όροι: Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, 0103 physical sciences, non-smooth dynamical systems, Problems involving a system of particles with friction, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/5045825
https://doi.org/10.1007/s11071-005-7183-0
https://abdn.pure.elsevier.com/en/publications/estimation-of-chaotic-and-regular-stick-slip-and-slip-slip-oscill
https://link.springer.com/article/10.1007/s11071-005-7183-0