Global dynamics of parametrically excited nonlinear reversible systems with nonsemisimple 1:1 resonance

DOI10.1016/0167-2789(95)00214-6zbMath0886.34042OpenAlexW2063451648WikidataQ127724638 ScholiaQ127724638MaRDI QIDQ1903315

Naresh K. Malhotra, N. Sri Namachchivaya

Publication date: 28 November 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00214-6

zbMATH Keywords

chaotic dynamicsdissipationHopf bifurcationglobal dynamicsperiodic parametric excitationsfour-dimensional normal formnonsemisimple internal resonance

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Vibrations in dynamical problems in solid mechanics (74H45) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (10)

Global dynamics of parametrically excited nonlinear reversible systems with nonsemisimple 1:1 resonance ⋮ Multi-pulse chaotic motions of functionally graded truncated conical shell under complex loads ⋮ SHILNIKOV-TYPE MULTIPULSE ORBITS AND CHAOTIC DYNAMICS OF A PARAMETRICALLY AND EXTERNALLY EXCITED RECTANGULAR THIN PLATE ⋮ Realizability of the normal forms for the non-semisimple 1:1 resonant Hopf bifurcation in a vector field ⋮ Global bifurcations and chaos for a rotor-active magnetic bearing system with time-varying stiffness ⋮ Global bifurcations and chaotic dynamics in nonlinear nonplanar oscillations of a parametrically excited cantilever beam ⋮ Some aspects of chaotic and stochastic dynamics for structural systems. ⋮ Multi-pulse chaotic motions of high-dimension nonlinear system for a laminated composite piezoelectric rectangular plate ⋮ THEORIES OF MULTI-PULSE GLOBAL BIFURCATIONS FOR HIGH-DIMENSIONAL SYSTEMS AND APPLICATION TO CANTILEVER BEAM ⋮ MULTIPULSE SHILNIKOV ORBITS AND CHAOTIC DYNAMICS FOR NONLINEAR NONPLANAR MOTION OF A CANTILEVER BEAM

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