%0 Journal Article %1 WOS:000352173600010 %A Teixeira, Rivania M N %A Rando, Danilo S %A Geraldo, Felipe C %A Filho, R N Costa %A de Oliveira, Juliano A %A Leonel, Edson D %C PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS %D 2015 %I ELSEVIER SCIENCE BV %J PHYSICS LETTERS A %K Critical Homogeneous exponents; function} law; {Scaling %N 18-19 %P 1246-1250 %R 10.1016/j.physleta.2015.02.019 %T Convergence towards asymptotic state in 1-D mappings: A scaling investigation %V 379 %X Decay to asymptotic steady state in one-dimensional logistic-like mappings is characterized by considering a phenomenological description supported by numerical simulations and confirmed by a theoretical description. As the control parameter is varied bifurcations in the fixed points appear. We verified at the bifurcation point in both; the transcritical, pitchfork and period-doubling bifurcations, that the decay for the stationary point is characterized via a homogeneous function with three critical exponents depending on the nonlinearity of the mapping. Near the bifurcation the decay to the fixed point is exponential with a relaxation time given by a power law whose slope is independent of the nonlinearity. The formalism is general and can be extended to other dissipative mappings. (C) 2015 Elsevier B.V. All rights reserved.

@article{WOS:000352173600010, abstract = {Decay to asymptotic steady state in one-dimensional logistic-like mappings is characterized by considering a phenomenological description supported by numerical simulations and confirmed by a theoretical description. As the control parameter is varied bifurcations in the fixed points appear. We verified at the bifurcation point in both; the transcritical, pitchfork and period-doubling bifurcations, that the decay for the stationary point is characterized via a homogeneous function with three critical exponents depending on the nonlinearity of the mapping. Near the bifurcation the decay to the fixed point is exponential with a relaxation time given by a power law whose slope is independent of the nonlinearity. The formalism is general and can be extended to other dissipative mappings. (C) 2015 Elsevier B.V. All rights reserved.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, author = {Teixeira, Rivania M N and Rando, Danilo S and Geraldo, Felipe C and Filho, R N Costa and de Oliveira, Juliano A and Leonel, Edson D}, biburl = {https://www.bibsonomy.org/bibtex/2cca26c1a34170eba1b26e1fba1696cf6/ppgfis_ufc_br}, doi = {10.1016/j.physleta.2015.02.019}, interhash = {43923e85394fc1a2826691b3564fc83b}, intrahash = {cca26c1a34170eba1b26e1fba1696cf6}, issn = {0375-9601}, journal = {PHYSICS LETTERS A}, keywords = {Critical Homogeneous exponents; function} law; {Scaling}, number = {18-19}, pages = {1246-1250}, publisher = {ELSEVIER SCIENCE BV}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Convergence towards asymptotic state in 1-D mappings: A scaling investigation}, tppubtype = {article}, volume = 379, year = 2015 }