BIFURCATION DYNAMICS OF THREE-DIMENSIONAL SYSTEMS
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Publication:5474124
DOI10.1142/S0218127400001122zbMath1090.37546MaRDI QIDQ5474124
Paul E. Phillipson, Peter Schuster
Publication date: 23 June 2006
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Related Items (6)
Bifurcations and chaotic behavior on the Lanford system ⋮ The Routh-Hurwitz conditions of fractional type in stability analysis of the Lorenz dynamical system ⋮ Completely integrable dynamical systems of Hopf-Langford type ⋮ Detecting period-doubling bifurcation: an approximate monodromy matrix approach. ⋮ Prediction of Period-Doubling Bifurcation Based on Dynamic Recognition and Its Application to Power Systems ⋮ Exponential-Algebraic Maps and Chaos in 3D Autonomous Quadratic Systems
Cites Work
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- Map dynamics of autocatalytic networks and the replicator equations
- Construction of Poincaré maps for multiply periodic and chaotic flows
- An equation for continuous chaos
- On finite limit sets for transformations on the unit interval
- On the occurrence of limit cycles in the Volterra-Lotka equation
- Second order averaging and bifurcations to subharmonics in duffing's equation
- Map Dynamics Study of the Lorenz Equations
- Deterministic Nonperiodic Flow
- Analytics of Bifurcation
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