Stabilty of one-dimensional heat equation due to van der Pol nonlinear boundary energy flows
Author:
Publisher
Springer Science and Business Media LLC
Subject
Electrical and Electronic Engineering,Control and Optimization,Mechanical Engineering,Modelling and Simulation,Civil and Structural Engineering,Control and Systems Engineering
Link
http://link.springer.com/article/10.1007/s40435-017-0384-9/fulltext.html
Reference16 articles.
1. Guckenheimer J, Holmes P (1991) Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Springer, New York
2. Chen G, Hsu SB, Zhou J (1998) Chaotic vibrations of the one-dimensional wave equation subject to a self-excitation boundary condition. Part I. Trans Am Math Soc 350:4265–4311
3. Chen G, Hsu SB, Zhou J (1998) Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition, Part II. Energy injection, period doubling and homoclinic orbits. Internat J Bifur Chaos Appl Sci Eng 8:423–445
4. Chen G, Hsu SB, Zhou J (1998) Ibid, Part III. Natural hysteresis memory effects. Internat J Bifur Chaos Appl Sci Eng 8:447–470
5. Chen G, Hsu SB, Zhou J (1998) Snapback repellers as a cause of chaotic vibration of the wave equation due to a van der Pol boundary condition and energy injection in the middle of the span. J Math Phys 39:6459–6489
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