Nonlinear dynamical behavior of the limited Explodator in a CSTR under square wave perturbation of the flow rate

DOI10.1016/0167-2789(94)90027-2zbMath0812.34044OpenAlexW1978831672MaRDI QIDQ1342190

Z. A. Schelly, John A. Vastano, Xiaomao Wu

Publication date: 16 May 1995

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

Full work available at URL: https://doi.org/10.1016/0167-2789(94)90027-2

zbMATH Keywords

Lyapunov exponentsquasiperiodicitybirhythmicitycontinuous-flow stirred tank reactorentrainment bandslimited explodator modelperiod doubling and intermittency routes to chaosresonance-like phenomenon

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (1)

TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS

Cites Work

• The Lyapunov dimension of strange attractors
• Determining Lyapunov exponents from a time series
• Quantitative universality for a class of nonlinear transformations
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• Global mathematical analysis of the “explodator”
• Bifurcation structures of periodically forced oscillators
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