Melnikov’s criteria, parametric control of chaos, and stationary chaos occurrence in systems with asymmetric potential subjected to multiscale type excitation

DOI10.1063/1.3650699zbMath1317.93202OpenAlexW1980912288WikidataQ51455764 ScholiaQ51455764MaRDI QIDQ5264591

Grzegorz Litak, C. A. Kitio kwuimy, Chandrasekhar Nataraj

Publication date: 27 July 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3650699

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) General perturbation schemes for nonlinear problems in mechanics (70K60) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (8)

Collective escape and homoclinic bifurcation phenomena in a nonlinear oscillators chain ⋮ Modeling nonlinear dissipative chemical dynamics by a forced modified van der Pol-Duffing oscillator with asymmetric potential: chaotic behaviors predictions ⋮ Multiple-S-Shaped Critical Manifold and Jump Phenomena in Low Frequency Forced Vibration with Amplitude Modulation ⋮ Chaotic Motions in Forced Mixed Rayleigh–Liénard Oscillator with External and Parametric Periodic-Excitations ⋮ Effect of amplitude modulated signal on chaotic motions in a mixed Rayleigh-Liénard oscillator ⋮ Birth of oscillation in coupled non-oscillatory Rayleigh-Duffing oscillators ⋮ Analysis of tristable energy harvesting system having fractional order viscoelastic material ⋮ Saddle-Node Bifurcation and Vibrational Resonance in a Fractional System with an Asymmetric Bistable Potential

Cites Work

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• Optimal Control of Homoclinic Bifurcation: Theoretical Treatment and Practical Reduction of Safe Basin Erosion in the Helmholtz Oscillator

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