Results 1 to 10 of about 1,041,533 (127)
Slowly varying oscillators [PDF]
1985 24th IEEE Conference on Decision and Control, 1985 We develop a Melnikov type perturbation method for detecting periodic and homoclinic orbits and codimension one bifurcations in a class of third order nonlinear ordinary differential equations.
Holmes, Philip, Wiggins, Stephen
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Homoclinic Orbits In Slowly Varying Oscillators [PDF]
SIAM Journal on Mathematical Analysis, 1987 We obtain existence and bifurcation theorems for homoclinic orbits in three-dimensional flows that are perturbations of families of planar Hamiltonian systems. The perturbations may or may not depend explicitly on time.
Holmes, Philip, Wiggins, Stephen
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Iterated Random Functions and Slowly Varying Tails [PDF]
Stochastic Processes and their Applications, 2015 Consider a sequence of i.i.d. random Lipschitz functions $\{\Psi_n\}_{n \geq 0}$. Using this sequence we can define a Markov chain via the recursive formula $R_{n+1} = \Psi_{n+1}(R_n)$. It is a well known fact that under some mild moment assumptions this
Dyszewski, Piotr
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Non-Hermitian dynamics of slowly-varying Hamiltonians [PDF]
Physical Review A, 2018 We develop a theoretical description of non-Hermitian time evolution that accounts for the break- down of the adiabatic theorem. We obtain closed-form expressions for the time-dependent state amplitudes, involving the complex eigen-energies as well as ...
Chong, Y. D. +2 more
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Filomat, 2015 In this paper we investigate the connection between the class SVs of slowly varying sequences (in the sense of Karamata) and the slow equivalence, strong asymptotic equivalence, selection principles and game theory.
Valentina Timotic +2 more
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A generalization of slowly varying functions [PDF]
Proceedings of the American Mathematical Society, 1986 This note establishes that if the main part of the definition of a slowly varying function is relaxed to the requirement that lim sup x → ∞ ψ ( λ x ) / ψ ( x ...
Drasin, D., Seneta, E.
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Vacuum instability in slowly varying electric fields [PDF]
, 2017 Nonperturbative methods have been well-developed for QED with the so-called t-electric potential steps. In this case a calculation technique is based on the existence of specific exact solutions (in and out solutions) of the Dirac equation.
Gavrilov, S. P., Gitman, D. M.
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Differences of Slowly Varying Functions
Journal of Mathematical Analysis and Applications, 2000 A positive non-decreasing function \(F\) belongs to the class \(\text{O}\Pi^+\) if \(\limsup(t\to\infty)(F(st)- F(t))= M(s)\) is finite for every \(s> 1\). Given a non-decreasing slowly varying function \(L\), if, whenever it is written as a sum \(L= F+G\) of two non-decreasing functions, both \(F\) and \(G\) are slowly varying, \(L\) is said to have ...
Janković, Slobodanka +1 more
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Controllability for Systems with Slowly Varying Parameters [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2003 Summary: For systems with slowly varying parameters the controllability behavior is studied and the relation to the control sets for the systems with frozen parameters is clarified.
FABBRI, ROBERTA, F. COLONIUS
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On slowly-varying Stokes waves [PDF]
Journal of Fluid Mechanics, 1970 A WKB-perturbation technique is applied to study the slow modulation of a Stokes wave train on the surface of water. It is found that new terms directly representing modulation rates must be included to extend the scope of validity of Whitham's theory based on an averaged Lagrangian. Two examples are discussed.
Chu, Vincent H., Mei, Chiang C.
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