Topological invariants in nonlinear boundary value problems

DOI10.1016/j.chaos.2004.11.043zbMath1083.35006OpenAlexW1994831302MaRDI QIDQ2483651

Sandra Vinagre, Ricardo Severino, José Sousa Ramos

Publication date: 25 July 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.11.043

zbMATH Keywords

symbolic dynamicschaotic behaviorperiodic behaviorbimodal mapskneeding theory

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Wave equation (35L05) Symbolic dynamics (37B10) Topological dynamics of nonautonomous systems (37B55) Nonautonomous smooth dynamical systems (37C60)

Related Items (6)

Substitution systems associated with the dynamical system (𝒜,T_f) ⋮ The evolution and distribution of the periodic critical values of iterated differentiable functions ⋮ Iteration of differentiable functions under \(m\)-modal maps with aperiodic kneading sequences ⋮ Theory and computation in singular boundary value problems ⋮ Weighted residual method for obtaining positive solutions of two-point nonlinear boundary value problems ⋮ UNIVERSAL FORM OF RENORMALIZABLE KNOTS IN SYMBOLIC DYNAMICS OF BIMODAL MAPS

Cites Work

• Sensitive dependence to initial conditions for one dimensional maps
• Topological invariants in a model of a time-delayed Chua's circuit
• Irreducible complexity of iterated symmetric bimodal maps
• Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. Part I: Controlled hysteresis
• UNIVERSAL PHENOMENA IN SOME INFINITE-DIMENSIONAL DYNAMICAL SYSTEMS
• FROM BOUNDARY VALUE PROBLEMS TO DIFFERENCE EQUATIONS: A METHOD OF INVESTIGATION OF CHAOTIC VIBRATIONS
• Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span
• NONISOTROPIC SPATIOTEMPORAL CHAOTIC VIBRATION OF THE WAVE EQUATION DUE TO MIXING ENERGY TRANSPORT AND A VAN DER POL BOUNDARY CONDITION
• Chaotic Vibrations of the One-Dimensional Wave Equation Due to a Self-Excitation Boundary Condition.
• Noncommutative topological dynamics
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