FROM BOUNDARY VALUE PROBLEMS TO DIFFERENCE EQUATIONS: A METHOD OF INVESTIGATION OF CHAOTIC VIBRATIONS

DOI10.1142/S0218127499000900zbMath0964.35165OpenAlexW2025823532MaRDI QIDQ4522227

E. Yu. Romanenko, O. M. Sharkovs'kyi

Publication date: 2 July 2001

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127499000900

zbMATH Keywords

partial differential equationboundary value problemdifference equationchaotic vibrations

Mathematics Subject Classification ID

Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Partial functional-differential equations (35R10) Additive difference equations (39A10)

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Cites Work

• Unnamed Item
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Simulation of spatial-temporal chaos: The simplest mathematical patterns and computer graphics
• From one-dimensional to infinite-dimensional dynamical systems: Ideal turbulence
• Differential-difference equations and nonlinear initial-boundary value problems for linear hyperbolic partial differential equations
• IDEAL TURBULENCE IN AN IDEALIZED TIME-DELAYED CHUA’S CIRCUIT
• IDEAL TURBULENCE: ATTRACTORS OF DETERMINISTIC SYSTEMS MAY LIE IN THE SPACE OF RANDOM FIELDS
• DRY TURBULENCE AND PERIOD-ADDING PHENOMENA FROM A 1-D MAP WITH TIME DELAY
• SELF-STRUCTURING AND SELF-SIMILARITY IN BOUNDARY VALUE PROBLEMS
• UNIVERSAL PHENOMENA IN SOME INFINITE-DIMENSIONAL DYNAMICAL SYSTEMS
• Solution behaviour in a class of difference–differential equations
• Universal Phenomena in Solution Bifurcations of Some Boundary Value Problems
• Chaotic Vibrations of the One-Dimensional Wave Equation due to a Self-Excitation Boundary Condition.
• Chaotic Vibrations of the One-Dimensional Wave Equation Due to a Self-Excitation Boundary Condition.