Results 221 to 230 of about 13,646 (248)
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Weak type heterodimensional cycle bifurcation with orbit-flip
Science China Mathematics, 2011In this paper, we study the weak type heterodimensional cycle with orbit-flip in its non-transversal orbit by using the local moving frame approach. For the first two subcases, we present the sufficient conditions for the existence, uniqueness and non-coexistence of the homoclinic orbit, heteroclinic orbit and periodic orbit.
QiuYing Lu, FengJie Geng, Deming Zhu
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Degenerate Orbit Flip Homoclinic Bifurcations with Higher Dimensions
Acta Mathematica Sinica, English Series, 2006Bifurcations of a degenerate homoclinic orbit with orbit flip in high dimensional system are studied. By establishing a local coordinate system and a Poincare map near the homoclinic orbit, the existence and uniqueness of 1–homoclinic orbit and 1–periodic orbit are given. Also considered is the existence of 2–homoclinic orbit and 2–periodic orbit.
Jian Hua Sun, Ran Chao Wu
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Bifurcations of double homoclinic flip orbits with resonant eigenvalues
Applied Mathematics and Mechanics, 2007Concerns double homoclinic loops with orbit flips and two resonant eigenvalues in a four-dimensional system. We use the solution of a normal form system to construct a singular map in some neighborhood of the equilibrium, and the solution of a linear variational system to construct a regular map in some neighborhood of the double homoclinic loops, then
Tian-si Zhang, De-ming Zhu
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Pitchfork bifurcation and flip-flop operation with a coupled nonlinear system
Applied Optics, 1994A ring cavity system consisting of two hybrid Michelson interferometers coupled together with feedback is constructed. This system shows spatial bifurcation and can be utilized as an all-optical flip-flop device. We demonstrate experimentally a flip-flop operation by use of only a positive pulse in this system.
Tong Kun Lim +2 more
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Oscillation quenching and phase-flip bifurcation in coupled thermoacoustic systems
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2019Oscillatory instabilities, although ubiquitous in nature, are undesirable in many situations such as biological systems, swaying of bridges and skyscrapers, aero-acoustic flutter, prey-predator and disease spread models, and thermoacoustic systems, where they exhibit large amplitude periodic oscillations.
Suraj Dange +5 more
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The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit
Ergodic Theory and Dynamical Systems, 1994AbstractDeng has demonstrated a mechanism through which a perturbation of a vector field having an inclination-flip homoclinic orbit would have a Smale horseshoe. In this article we prove that if the eigenvalues of the saddle to which the homoclinic orbit is asymptotic satisfy the condition 2λu > min{−λs, λuu} then there are arbitrarily small ...
Hiroshi Kokubu +2 more
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Fast spin-flip enables efficient and stable organic electroluminescence from charge-transfer states
Nature Photonics, 2020Lin-Song Cui +2 more
exaly
Charge‐Transfer and Spin‐Flip States: Thriving as Complements
Angewandte Chemie - International Edition, 2023Katja Heinze
exaly

