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Orbital
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Fixed orbit index for equivariant maps
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The Symmetry of GPS Orbit Ascending Nodes
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ORBIT-AN INTERNATIONAL JOURNAL ON ORBITAL DISORDERS AND FACIAL RECONSTRUCTIVE SURGERY
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Existence of periodic orbits for a perturbed vector field
PublicationPrzy nałożeniu pewnego warunku na odwzorowanie Poincarego, wyrażonego w języku indeksów iteracji, dowodzi się istnienia orbit periodycznych dla zaburzonego pola wektorowego.
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Rigorous numerics for critical orbits in the quadratic family
PublicationWe develop algorithms and techniques to compute rigorous bounds for finite pieces of orbits of the critical points, for intervals of parameter values, in the quadratic family of one-dimensional maps fa(x)=a−x2. We illustrate the effectiveness of our approach by constructing a dynamically defined partition P of the parameter interval Ω=[1.4,2] into almost 4 million subintervals, for each of which we compute to high precision the...
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Orbit (Cambridge)
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Matrix elements for spin-orbit couplings in KRb
PublicationIn response to the need to investigate and create a reliable dataset of spin-orbit coupling matrix elements, we have extended our recent work in which we presented results for the potential energy curves and permanent and transition dipole moments in KRb. This paper presents 190 allowed spin-orbit couplings between 30 singlet and triplet +, , and electronic states of the KRb molecule. These results are crucial for accurately interpreting...
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Computer assisted method for proving existence of periodic orbits
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The Conley Index and Rigorous Numerics for Attracting Periodic Orbits
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