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Analyzing bifurcation, stability, and wave solutions in nonlinear telecommunications models using transmission lines, Hamiltonian and Jacobian techniques. [PDF]
Refaie Ali A+3 more
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Alpha particle detection in high magnetic fields with applications in designing fission fragment rocket engine. [PDF]
Puri S+7 more
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Bifurcations of phase portraits and chaotic behaviors of the (2+1)-dimensional double-chain DNA system with beta derivative: A qualitative approach. [PDF]
Kumar D.
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Mean-field and Fluctuations for Hub Dynamics in Heterogeneous Random Networks. [PDF]
Bian Z, Lamb JSW, Pereira T.
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Desynchronization by periodic orbits
Physical Review E, 1995Synchronous chaotic behavior is often interrupted by bursts of desynchronized behavior. We investigate the role of unstable periodic orbits in bursting events and show that they serve as sources of local transverse instability within a synchronous chaotic attractor. Analysis of bursts in both model and experimental studies of two coupled R\"ossler-like
Thomas L. Carroll+2 more
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Following Periodic Orbits [PDF]
As a parameter of a map is varied, periodic orbits are often seen to appear and shift in position and perhaps period double or blink out of existence. The orbit-following capability is for tracing their behavior as a parameter is varied. The orbit following routine runs for two dimensional maps, including for example the time-2π maps of periodically ...
Helena E. Nusse+2 more
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Bifurcations of Periodic Orbits
2008This chapter and Chapter IX use the theory of normal forms developed in Chapter VI. They contain an introduction to generic bifurcation theory and its applications. Bifurcation theory has grown into a vast subject with a large literature; so, this chapter can only present the basics of the theory.
Dan Offin+2 more
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