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0;color:#e2e2e2;text-decoration:underline;}#gs_alrt_m a:active{color:#f6aea9}</style><form action="" method="post" id="gs_alrt"><span id="gs_alrt_m"></span><span id="gs_alrt_h"></span><a id="gs_alrt_l" href="javascript:void(0)" class="gs_fm_s" data-fm="gs_alrt"></a></form><div id="gs_bdy"><div id="gs_bdy_sb" role="navigation"><div id="gs_bdy_sb_in"><div id="gsc_sb_ui" class="gs_bdy_sb_sec"><a href="/citations?user=OHbcFkcAAAAJ&hl=en" class="gs_ibl"><span class="gs_rimg gs_pp_sm"><img alt="Sundarapandian Vaidyanathan" sizes="47px" src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=OHbcFkcAAAAJ&citpid=3" srcset="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=OHbcFkcAAAAJ&citpid=3 47w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=OHbcFkcAAAAJ&citpid=3 108w" width="47" height="56"></span></a><div><a href="/citations?user=OHbcFkcAAAAJ&hl=en">Sundarapandian Vaidyanathan</a></div></div></div></div><div id="gs_bdy_ccl" role="main"><div id="gsc_vcpb" data-edit-link="/citations?view_op=edit_citation&hl=en&user=OHbcFkcAAAAJ&citation_for_view=OHbcFkcAAAAJ:UoSa6IK8DwsC&citation_for_view=OHbcFkcAAAAJ:UoSa6IK8DwsC&back_view_op=view_citation"><form method="post" id="gsc_vcpb_btns" action="/citations?view_op=view_citation&hl=en"><input type="hidden" name="xsrf" value="ADIE8skAAAAAZ0NT9HaGmDXB0pUnrJV_1V_KHy4"><input type="hidden" name="s" value="OHbcFkcAAAAJ:UoSa6IK8DwsC"><input type="hidden" name="continue" value="/citations?view_op=list_works&hl=en&hl=en&user=OHbcFkcAAAAJ"></form><div id="gsc_oci_title_wrapper"><div id="gsc_oci_title"><a class="gsc_oci_title_link" href="https://link.springer.com/chapter/10.1007/978-3-319-13132-0_2" data-clk="hl=en&sa=T&ei=dAJCZ6S-HaaIy9YPj4bQgAQ">Analysis, control and synchronization of a nine-term 3-D novel chaotic system</a></div></div><div id="gsc_oci_table"><div class="gs_scl"><div class="gsc_oci_field">Authors</div><div class="gsc_oci_value">Sundarapandian Vaidyanathan, Ahmad Taher Azar</div></div><div class="gs_scl"><div class="gsc_oci_field">Publication date</div><div class="gsc_oci_value">2015</div></div><div class="gs_scl"><div class="gsc_oci_field">Journal</div><div class="gsc_oci_value">Chaos modeling and control systems design</div></div><div class="gs_scl"><div class="gsc_oci_field">Pages</div><div class="gsc_oci_value">19-38</div></div><div class="gs_scl"><div class="gsc_oci_field">Publisher</div><div class="gsc_oci_value">Springer International Publishing</div></div><div class="gs_scl"><div class="gsc_oci_field">Description</div><div class="gsc_oci_value" id="gsc_oci_descr"><div class="gsh_small"> <div class="gsh_csp">This research work describes a nine-term 3-D novel chaotic system with four quadratic nonlinearities. First, this work describes the dynamic analysis of the novel chaotic system and qualitative properties of the novel chaotic system are derived. 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Since the maximal Lyapunov exponent (MLE) of the novel chaotic system is <svg class="gs_fsvg" aria-label=" L 1 = 9.45456 " width="80px" height="12px" style="vertical-align:-2px;"><g transform="matrix(0.01400, 0.00000, 0.00000, 0.01400, 0.00000, 9.56200)"><g><g><g><g><path transform="scale(0.48828, -0.48828)" d="M 96 0 Q 76 0 76 27 Q 77 32 80 44 T 88 64 T 102 72 Q 227 72 276 86 Q 303 95 315 141 L 596 1266 Q 600 1286 600 1294 Q 600 1316 575 1319 Q 537 1327 428 1327 Q 408 1327 408 1354 Q 415 1380 419 1389 T 442 1399 H 1047 Q 1065 1399 1065 1372 Q 1062 1351 1058 1339 T 1038 1327 Q 887 1327 836 1317 Q 786 1308 774 1257 L 494 133 Q 485 108 485 88 Q 485 72 555 72 H 745 Q 906 72 1006 136 T 1154 280 T 1234 447 T 1282 537 H 1300 Q 1321 537 1321 510 L 1139 14 Q 1136 0 1120 0 H 96 Z "/><g transform="translate(680.56000, 150.00000)"><path transform="scale(0.34180, -0.34180)" d="M 233 0 V 82 Q 516 82 516 143 V 1202 Q 401 1147 219 1147 V 1229 Q 341 1229 447 1258 T 629 1360 H 666 Q 685 1355 690 1335 V 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229 Q 367 1298 522 1298 Q 674 1298 815 1364 H 821 Q 828 1364 834 1359 T 840 1348 V 1329 Q 840 1319 836 1319 Q 766 1226 660 1174 T 442 1122 Q 360 1122 274 1145 V 758 Q 342 813 395 836 T 532 860 Q 645 860 734 795 T 872 625 T 920 412 Q 920 289 859 184 T 695 17 T 469 -45 Q 368 -45 283 7 T 150 147 T 102 334 Q 102 380 132 409 T 207 438 Q 252 438 282 408 T 313 334 Q 313 290 282 259 T 207 229 Q 200 229 191 230 T 178 233 Z "/><path transform="matrix(0.48828, 0.00000, 0.00000, -0.48828, 1777.78003, 0.00000)" d="M 57 338 V 410 L 690 1354 Q 697 1364 711 1364 H 741 Q 764 1364 764 1341 V 410 H 965 V 338 H 764 V 137 Q 764 95 824 83 T 963 72 V 0 H 399 V 72 Q 478 72 538 83 T 598 137 V 338 H 57 Z M 125 410 H 610 V 1135 L 125 410 Z "/><path transform="matrix(0.48828, 0.00000, 0.00000, -0.48828, 2277.78003, 0.00000)" d="M 178 233 Q 199 173 242 124 T 345 47 T 469 20 Q 617 20 673 135 T 729 414 Q 729 485 726 533 T 713 627 Q 694 699 646 753 T 530 807 Q 461 807 411 786 T 331 737 T 276 678 T 246 645 H 223 Q 218 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191 T 732 19 T 512 -45 Z M 512 20 Q 591 20 639 56 T 709 151 T 737 271 T 743 420 Q 743 536 732 618 T 672 762 T 522 825 Q 439 825 385 769 T 307 627 T 283 463 Q 283 436 285 422 Q 285 419 284 417 T 283 412 Q 283 324 301 234 T 370 82 T 512 20 Z "/></g></g></g></g></svg>, which is a high value, the novel chaotic system exhibits strong chaotic properties. Next, this work describes the adaptive control of the novel chaotic system with unknown system parameters. Also, this work describes the adaptive synchronization of the identical novel chaotic systems with unknown system parameters. The adaptive control and synchronization results are proved using Lyapunov stability theory. MATLAB simulations are given to demonstrate and …</div></div></div></div><div class="gs_scl"><div class="gsc_oci_field">Total citations</div><div class="gsc_oci_value"><div style="margin-bottom:1em"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=10714499361797888099&as_sdt=5">Cited by 179</a></div><div id="gsc_oci_graph_wrapper"><div id="gsc_oci_graph" style="width:327px;"><div id="gsc_oci_graph_x"></div><div id="gsc_oci_graph_bars"><span class="gsc_oci_g_t" style="left:0px">2014</span><span class="gsc_oci_g_t" style="left:33px">2015</span><span class="gsc_oci_g_t" style="left:66px">2016</span><span class="gsc_oci_g_t" style="left:99px">2017</span><span class="gsc_oci_g_t" style="left:132px">2018</span><span class="gsc_oci_g_t" style="left:165px">2019</span><span class="gsc_oci_g_t" style="left:198px">2020</span><span class="gsc_oci_g_t" style="left:231px">2021</span><span class="gsc_oci_g_t" style="left:264px">2022</span><span class="gsc_oci_g_t" style="left:297px">2023</span><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=10714499361797888099&as_sdt=5&as_ylo=2014&as_yhi=2014" class="gsc_oci_g_a" style="left:5px;height:4px;top:53px;z-index:10"><span class="gsc_oci_g_al">5</span></a><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=10714499361797888099&as_sdt=5&as_ylo=2015&as_yhi=2015" class="gsc_oci_g_a" style="left:38px;height:28px;top:29px;z-index:9"><span class="gsc_oci_g_al">31</span></a><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=10714499361797888099&as_sdt=5&as_ylo=2016&as_yhi=2016" class="gsc_oci_g_a" style="left:71px;height:57px;top:0px;z-index:8"><span class="gsc_oci_g_al">64</span></a><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=10714499361797888099&as_sdt=5&as_ylo=2017&as_yhi=2017" class="gsc_oci_g_a" style="left:104px;height:34px;top:23px;z-index:7"><span class="gsc_oci_g_al">38</span></a><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=10714499361797888099&as_sdt=5&as_ylo=2018&as_yhi=2018" class="gsc_oci_g_a" style="left:137px;height:19px;top:38px;z-index:6"><span class="gsc_oci_g_al">21</span></a><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=10714499361797888099&as_sdt=5&as_ylo=2019&as_yhi=2019" class="gsc_oci_g_a" style="left:170px;height:3px;top:54px;z-index:5"><span class="gsc_oci_g_al">3</span></a><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=10714499361797888099&as_sdt=5&as_ylo=2020&as_yhi=2020" class="gsc_oci_g_a" style="left:203px;height:4px;top:53px;z-index:4"><span class="gsc_oci_g_al">4</span></a><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=10714499361797888099&as_sdt=5&as_ylo=2021&as_yhi=2021" class="gsc_oci_g_a" style="left:236px;height:3px;top:54px;z-index:3"><span class="gsc_oci_g_al">3</span></a><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=10714499361797888099&as_sdt=5&as_ylo=2022&as_yhi=2022" class="gsc_oci_g_a" style="left:269px;height:6px;top:51px;z-index:2"><span class="gsc_oci_g_al">7</span></a><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=10714499361797888099&as_sdt=5&as_ylo=2023&as_yhi=2023" class="gsc_oci_g_a" style="left:302px;height:3px;top:54px;z-index:1"><span class="gsc_oci_g_al">3</span></a></div></div></div></div></div><div class="gs_scl"><div class="gsc_oci_field">Scholar articles</div><div class="gsc_oci_value"><div class="gsc_oci_merged_snippet"><div><a href="/scholar?oi=bibs&cluster=10714499361797888099&btnI=1&hl=en">Analysis, control and synchronization of a nine-term 3-D novel chaotic system</a></div><div>S Vaidyanathan, AT Azar - Chaos modeling and control systems design, 2015</div><div><a class="gsc_oms_link" href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=10714499361797888099&as_sdt=5">Cited by 179</a> <a class="gsc_oms_link" href="https://scholar.google.com/scholar?oi=bibs&hl=en&q=related:Y9gc1maMsZQJ:scholar.google.com/">Related articles</a> <a class="gsc_oms_link" href="https://scholar.google.com/scholar?oi=bibs&hl=en&cluster=10714499361797888099">All 3 versions</a> </div></div></div></div></div></div></div></div><div id="gs_ftr_sp" role="presentation"></div><div id="gs_ftr" class="gs_md_rmb" role="contentinfo"><div id="gs_ftr_rt"><a href="//www.google.com/intl/en/policies/privacy/">Privacy</a><a href="//www.google.com/intl/en/policies/terms/">Terms</a><a href="javascript:void(0)" ontouchstart="gs_evt_dsp(event)" role="button" aria-controls="gs_ftr_mnu" aria-haspopup="true" class="gs_press gs_md_tb">Help</a></div><div id="gs_ftr_mnu" class="gs_md_d gs_md_ds gs_ttzi gs_md_ulr" role="menu" tabindex="-1"><a role="menuitem" href="/intl/en/scholar/about.html" tabindex="-1" class="gs_md_li">About Scholar</a><a role="menuitem" href="//support.google.com/websearch?p=scholar_dsa&hl=en" tabindex="-1" class="gs_md_li">Search help</a></div></div></div></body></html>