Springer Proceedings in Mathematics & Statistics Martin Bohner Yiming Ding Ondřej Došlý Editors Difference Equations, Discrete Dynamical Systems and Applications ICDEA, Wuhan, China, July 21–25, 2014 Springer Proceedings in Mathematics & Statistics Volume 150 Springer Proceedings in Mathematics & Statistics This book series features volumes composed of selected contributions from workshops and conferences in all areas of current research in mathematics and statistics, including operation research and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today. More information about this series at http://www.springer.com/series/10533 Martin Bohner Yiming Ding (cid:129) ř š ý Ond ej Do l Editors Difference Equations, Discrete Dynamical Systems and Applications – ICDEA, Wuhan, China, July 21 25, 2014 123 Editors Martin Bohner Ondřej Došlý Department ofMathematics andStatistics Faculty of Science MissouriUniversity ofScience and MasarykUniversity Technology Brno Rolla, MO Czech Republic USA Yiming Ding WuhanInstituteofPhysicsandMathematics ChineseAcademy of Sciences Wuhan China ISSN 2194-1009 ISSN 2194-1017 (electronic) SpringerProceedings in Mathematics& Statistics ISBN978-3-319-24745-8 ISBN978-3-319-24747-2 (eBook) DOI 10.1007/978-3-319-24747-2 LibraryofCongressControlNumber:2015952025 MathematicsSubjectClassification(2010): 37-XX,39-XX SpringerChamHeidelbergNewYorkDordrechtLondon ©SpringerInternationalPublishingSwitzerland2015 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar methodologynowknownorhereafterdeveloped. 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Printedonacid-freepaper SpringerInternationalPublishingAGSwitzerlandispartofSpringerScience+BusinessMedia (www.springer.com) Preface These proceedings of the 20th International Conference on Difference Equations and Applications cover the areas of difference equations, discrete dynamical sys- tems, fractal geometry, difference equations and bio-medical models, and discrete models in the natural sciences, social sciences and engineering. The conference was held at the Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences (Hubei, China), under the auspices of the InternationalSocietyofDifferenceEquations(ISDE)inJuly2014.Itspurposewas tobringtogetherrenownedresearchersworkingactivelyintherespectivefields,to discuss the latest developments, and to promote international cooperation on the theory and applications of difference equations. The main topics in ICDEA 2014 weredifferenceequations, discrete dynamicalsystems,fractal geometry, difference equationsandbio-medicalmodels,anddiscretemodelsinnaturalscienceandsocial sciences. More than 100 participants attended the 48 talks of the conference, including 10 plenary talks given by invited speakers. These proceedings contain articles written by participants at ICDEA 2014 that were selected by our panel of referees to ensure quality of the scientific content. FourofthearticlesarepreparedbytheplenaryspeakersMartinBohner,AihuaFan, Peter Kloeden, and Kenneth Palmer. This book will appeal to researchers and scientists working in the fields of difference equations, discrete dynamical systems and their applications. We would like to take this opportunity to give our special thanks to all the participants for their active contributions to the success of ICDEA 2014. Our gratitute and appreciation go to the organizers for their efforts that made possible thesuccessoftheconference,themembersofthescientificcommitteewhoensured the high standards of the conference’s scientific activities, the administration of v vi Preface WuhanInstituteofPhysicsandMathematicsforprovidingattheChineseAcademy of Sciences for providing its facilities and resources tothe conferenceparticipants, and last but not least the sponsors for their generous financial contributions. Rolla, USA Martin Bohner Wuhan, China Yiming Ding Brno, Czech Republic Ondřej Došlý August 2015 Conference Committees Local Organizing Committee (cid:129) Xia Cao, Wuhan Institute of Physics and Mathematics, Wuhan, China (cid:129) Hongfei Cui, Wuhan Institute of Physics and Mathematics, Wuhan, China (cid:129) Yiming Ding, Wuhan Institute of Physics and Mathematics, Wuhan, China (cid:129) Jihua Ma, Wuhan Institute of Physics and Mathematics, Wuhan, China Scientific Committee (cid:129) Lluís Alsedà, Universitat Autònoma de Barcelona, Barcelona, Spain (cid:129) Yongluo Cao, Soochow University, Suzhou, China (cid:129) Robert Devaney, Boston University, Boston, USA (cid:129) Yiming Ding, Wuhan Institute of Physics and Mathematics, Wuhan, China (cid:129) Ondřej Došlý, Masaryk University, Brno, Czech Republic (cid:129) Peter Kloeden, University of Frankfurt, Frankfurt, Germany (cid:129) Eduardo Liz, University of Vigo, Vigo, Spain (cid:129) Michał Misiurewicz, Indiana University Purdue University, Indianapolis, USA (cid:129) Sandra Pinelas, Military Academy, Lisbon, Portugal (cid:129) Mihály Pituk, University of Pannonia, Veszprém, Hungary (cid:129) Christian Pötzsche, Alpen-Adria Universität, Klagenfurt, Austria (cid:129) Hal Smith, Arizona State University, Tempe, USA (cid:129) Jun Wu, Huazhong University of Science and Technology, Wuhan, China vii Conference Speakers Invited Talks (cid:129) Lluís Alsedà, Universitat Autònoma de Barcelona, Barcelona, Spain [email protected] (cid:129) Ziyad Al-Sharawi, Sultan Qaboos University, Muscat, Oman [email protected] (cid:129) Martin Bohner, Missouri University of Science and Technology, Rolla, USA [email protected] (cid:129) Ai-Hua Fan, Université de Picardie Jules Verne, Amiens, France [email protected] (cid:129) Peter Kloeden, University of Frankfurt, Frankfurt, Germany [email protected] (cid:129) Piotr Oprocha, AGH University of Science and Technology, Kraków, Poland [email protected] (cid:129) Kenneth Palmer, National Taiwan University, Taipei, Taiwan [email protected] (cid:129) Weixiao Shen, National University of Singapore, Singapore [email protected] (cid:129) Roderick Wong, City University of Hong Kong, Hong Kong [email protected] (cid:129) Xiangdong Ye, University of Science and Technology of China, Hefei, China [email protected] Contributed Talks (cid:129) TamaraAwerbuchFriedlander,HarvardSchoolofPublicHealth,Boston,USA [email protected] (cid:129) Fangwen Deng, Chinese Academy of Sciences, Wuhan, China [email protected] (cid:129) Jieli Ding, Wuhan University, Wuhan, China [email protected] ix x ConferenceSpeakers (cid:129) Zhaoyang Dong, Universitat Autònoma de Barcelona, Barcelona, Spain [email protected] (cid:129) Yicheng Gong, Wuhan University of Science and Technology, Wuhan, China [email protected] (cid:129) Wei Gu, Zhongnan University of Economics and Law, Wuhan, China [email protected] (cid:129) Yi He, Chinese Academy of Sciences, Wuhan, China [email protected] (cid:129) Xuanji Hou, Central China Normal University, Wuhan, China [email protected] (cid:129) Yaozhong Hu, University of Kansas, Lawrence, USA [email protected] (cid:129) Yijun Hu, Wuhan University, Wuhan, China [email protected] (cid:129) Zdeněk Kočan, Silesian University, Opava, Czech Republic [email protected] (cid:129) Jian Li, Shantou University, Shantou, China [email protected] (cid:129) Lingmin Liao, Université Paris-Est, Créteil, France [email protected] (cid:129) Fuchun Lin, Chinese Academy of Sciences, Wuhan, China [email protected] (cid:129) Lin Liu, University of Science and Technology Beijing, Beijing, China [email protected] (cid:129) Qinghui Liu, Beijing Institute of Technology, Beijing, China [email protected] (cid:129) Wanping Liu, Chongqing University, Chongqing, China [email protected] (cid:129) Tianxiu Lu, Sichuan University of Science and Engineering, Zigong, China [email protected] (cid:129) Hideaki Matsunaga, Osaka Prefecture University, Sakai, Japan [email protected] (cid:129) Jihua Ma, Wuhan University, Wuhan, China [email protected] (cid:129) Christian Pötzsche, Alpen-Adria Universität, Klagenfurt, Austria [email protected] (cid:129) Petr Stehlík, University of West Bohemia, Plzen, Czech Republic [email protected] (cid:129) Chun Tang, Chinese Academy of Sciences, Wuhan, China [email protected] (cid:129) Baobin Wang, South-Central University for Nationalities, Wuhan, China [email protected] (cid:129) BaoweiWang,HuazhongUniversityofScienceandTechnology,Wuhan,China [email protected]