periodic orbits
The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere
... for magnetic Tonelli systems. In Section 3 we provide the proof of Theorem 1.1. Acknowledgments. A.A. and L.A. are partially supported by the DFG grant AB 360/2-1 “Periodic orbits of conservative systems ...
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Estimating the Dimension of an Inertial Manifold from Unstable Periodic Orbits
... individual orbits, as each one is of a finite period, and the minimal principal angle reached by a pair of Floquet subspaces remains strictly ...of orbits and find that the entangled- transient threshold is ...
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Constraint Based Computation of Periodic Orbits of Chaotic Dynamical Systems
... of periodic orbits holds only for dynamical systems that satisfy the axiom A (although some exponential growth of the number of periodic orbits is a very strong hint of the presence of ...
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Estimating maximum entropy distributions from periodic orbits in spike trains
... This paper addresses this question on a mathematical ground. Assume that spike statis- tics has been generated by a hidden stationary Markov process where transition probabilities are known (either because they can be ...
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The family of Quasi-satellite periodic orbits in the circular co-planar RTBP
... We developed a numerical method to find this fixed point near the origin of the (θ, u) plane in each e 0 and calculated the two frequencies on it. To compare QS with TP and HS, we do the same procedure to F L 3 , F L 4 ...
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Travelling-wave solutions bifurcating from relative periodic orbits in plane Poiseuille flow
... relative periodic orbit (RPO) ...Relative periodic orbit solutions have also been computed in plane Couette flow [6–8] , plane channel [9] , and pipe flows [10] , and in the asymptotic suction boundary layer ...
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Finite and periodic orbits of shift radix systems
... The only problem remaining for the characterization of D d is to describe D d \E d , which is a subset of ∂D d . We just mention that this problem contains a well-known conjecture on Salem numbers as a special case. ...
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Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level
... hold for some non-exact magnetic flows, for instance in case M is a surface of higher genus, for which a suitable free-time action functional is still available. 3. The minimax argument 3.1. The sequence of minimax ...
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Homoclinic Orbits in Families of Hypersurfaces with Hyperbolic Periodic Orbits
... 3 Existence of periodic orbits We prove theorem 2 in this section using variational methods. Let us fix a radius R 0 and the associated energy H 0 = ωR 2 0 /2. The functional I does not satisfy PS ...
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Relative periodic orbits in plane Poiseuille flow
... unstable periodic (in time) solutions (periodic orbits or relative periodic orbits), both for their potentially very important role in the transition process and because they might ...
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Stabilization of periodic orbits in a wedge billiard
... Billiards have always been important objects in the study of dynamical systems. Beyond its relevance for robotic applications, the (uncontrolled) wedge billiard is a rich dynamical model leading to stabilization problems ...
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Stabilization of periodic orbits of discrete-time dynamical systems using the Prediction-Based Control: New control law and practical aspects
... The following practical and theoretical aspects are of special concern in this contribution: • Control systems performance specifications include transient and steady state behavior. In general, chaos control methods use ...
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THE PERIODIC ORBITS OF A DYNAMICAL SYSTEM ASSOCIATED WITH A FAMILY OF QRT-MAPS
... [7] Bastien G. and Rogalski M. [2012b] A QRT-system of two order one homographic difference equations: conjugation to rotations, periods of periodic solutions, sensitiveness to initial conditions, In: Alsed` a i ...
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Probabilistic approach for predicting periodic orbits in piecewise affine differential models
... a periodic orbit ...given periodic trajectory (Section 4), and to control the system from one periodic trajectory to another, by appropriately changing the inputs/parameters (Section ...
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Prescribed energy connecting orbits for gradient systems
... heteroclinic, homoclinic and periodic orbits , Indiana Univ. Math. J. 65 (2016), no. 5, 1503–1524. [12] V. Benci, Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of ...
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Design of Low-Altitude Martian Orbits using Frequency Analysis
... Frozen Orbits (FOs) around axisymmetric bodies — or, quasi-circular Periodic Orbits (POs) around non-axisymmetric bodies — are of primary concern in the design of low-altitude survey ...low-altitude ...
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Computing heteroclinic orbits using adjoint-based methods
... the exact invariant solutions populating the state space. Turbulence is linked to the existence of a multitude of such invariant solutions of the Navier–Stokes (NS) equations (Budanur et al. 2017 ), in the form of ...
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Finite geometries and diffractive orbits in isospectral billiards
... transplantation method produces exactly the same examples and provides a proof for iso- length-spectrality of these billiards (i.e. the set of lengths of periodic orbits is identical) [10]. A similar ...
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Impact dynamics near unilaterally constrained grazing orbits
... grazing orbits, involving square-root singularities of the first return time ...authors, periodic grazing orbits ...of periodic orbits [6, 15] of nonlinear ...a periodic solution ...
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Improving on computation of homogenized coefficients in the periodic and quasi-periodic settings
... quasi periodic setting, it is not possible to calculate analytically (since it requires in principle to solve the prob- lem on the entire space) the exact value of the homogenized ...
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