%0 Journal Article %1 WOS:000356194800003 %A Leonel, Edson D %A Penalva, Julia %A Teixeira, Rivania M N %A Filho, Raimundo N Costa %A Silva, Mario R %A de Oliveira, Juliano A %C RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS %D 2015 %I ELSEVIER %J PHYSICS LETTERS A %K Chaos; Critical Scaling exponents} law; transition; {Phase %N 32-33 %P 1808-1815 %R 10.1016/j.physleta.2015.04.025 %T A dynamical phase transition for a family of Hamiltonian mappings: A phenomenological investigation to obtain the critical exponents %V 379 %X A dynamical phase transition from integrability to non-integrability for a family of 2-D Hamiltonian mappings whose angle, theta, diverges in the limit of vanishingly action, I, is characterised. The mappings are described by two parameters: (i) epsilon, controlling the transition from integrable (epsilon = 0) to non-integrable (epsilon not equal 0); and (ii) gamma, denoting the power of the action in the equation which defines the angle. We prove the average action is scaling invariant with respect to either epsilon or n and obtain a scaling law for the three critical exponents. (C) 2015 Elsevier B.V. All rights reserved.

@article{WOS:000356194800003, abstract = {A dynamical phase transition from integrability to non-integrability for a family of 2-D Hamiltonian mappings whose angle, theta, diverges in the limit of vanishingly action, I, is characterised. The mappings are described by two parameters: (i) epsilon, controlling the transition from integrable (epsilon = 0) to non-integrable (epsilon not equal 0); and (ii) gamma, denoting the power of the action in the equation which defines the angle. We prove the average action is scaling invariant with respect to either epsilon or n and obtain a scaling law for the three critical exponents. (C) 2015 Elsevier B.V. All rights reserved.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, author = {Leonel, Edson D and Penalva, Julia and Teixeira, Rivania M N and Filho, Raimundo N Costa and Silva, Mario R and de Oliveira, Juliano A}, biburl = {https://www.bibsonomy.org/bibtex/2187b519fa49e69eb2da6050f8e6a953f/ppgfis_ufc_br}, doi = {10.1016/j.physleta.2015.04.025}, interhash = {95270d3c15f5e885540e9dd6aa1cc38d}, intrahash = {187b519fa49e69eb2da6050f8e6a953f}, issn = {0375-9601}, journal = {PHYSICS LETTERS A}, keywords = {Chaos; Critical Scaling exponents} law; transition; {Phase}, number = {32-33}, pages = {1808-1815}, publisher = {ELSEVIER}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {A dynamical phase transition for a family of Hamiltonian mappings: A phenomenological investigation to obtain the critical exponents}, tppubtype = {article}, volume = 379, year = 2015 }